Klein tunneling of two correlated bosons

TL;DR

This paper theoretically investigates how two strongly interacting bosons can exhibit Klein tunneling-like behavior on a lattice, penetrating high barriers due to their correlations, unlike single particles.

Contribution

It demonstrates that bound boson pairs can tunnel through high potential barriers, revealing a many-body analog of Klein tunneling in a lattice system.

Findings

Bound boson pairs can penetrate high barriers unlike single particles.

Klein tunneling phenomenon is observed in a lattice of correlated bosons.

The effect depends on unbalanced on-site and nearest-neighbor interactions.

Abstract

Reflection of two strongly interacting bosons with long-rage interaction hopping on a one-dimensional lattice scattered off by a potential step is theoretically investigated in the framework of the extended Hubbard model. The analysis shows that, in the presence of unbalanced on-site and nearest-neighbor site interaction, two strongly correlated bosons forming a bound particle state can penetrate a high barrier, despite the single particle can not. Such a phenomenon is analogous to one-dimensional Klein tunneling of a relativistic massive Dirac particle across a potential step.